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Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 2.2 2.7 1.4 2.4 2.5 2.4 1.8 3.2 1.6 2.9 With a 0.05 level of significance, test to see whether the mean tree- planting time differs from two hours. a. State the null and alternative hypotheses. Ho: H₂: b. Compute the sample mean. (to 2 decimals) c. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) (to 3 decimals) p-value between 0.10 and 0.20 e. What is your conclusion? We do not reject the null hypothesis. There is not enough evidence to prove that the mean tree-planting time differs from 2 hours.

Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 2.2 2.7 1.4 2.4 2.5 2.4 1.8 3.2 1.6 2.9 With a 0.05 level of significance, test to see whether the mean tree- planting time differs from two hours. a. State the null and alternative hypotheses. Ho: H₂: b. Compute the sample mean. (to 2 decimals) c. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) (to 3 decimals) p-value between 0.10 and 0.20 e. What is your conclusion? We do not reject the null hypothesis. There is not enough evidence to prove that the mean tree-planting time differs from 2 hours.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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# Educational Exercise on Hypothesis Testing for Mean Tree Planting Times Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours): 2.2 | 2.7 | 1.4 | 2.4 | 1.8 | 3.2 | 1.6 | 2.9 | 1.7 | 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. ## a. State the null and alternative hypotheses. Null Hypothesis (\(H_0\)): \( \mu = 2 \) Alternative Hypothesis (\(H_a\)): \( \mu \neq 2 \) (Note: \(\mu\) represents the population mean.) ## b. Compute the sample mean. User input is required (to 2 decimals). ## c. Compute the sample standard deviation. User input is required (to 4 decimals). ## d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) User input is required for test statistic \(t\) (to 3 decimals). The p-value is given to be between 0.10 and 0.20. ## e. What is your conclusion? We do not reject the null hypothesis. There is not enough evidence to prove that the mean tree-planting time differs from 2 hours. ### Detailed Explanation for Graphs or Diagrams In this exercise, there are placeholders marked with red crosses indicating the areas where the user needs to input calculated values. Specifically, these inputs are for: 1. The Sample Mean (to 2 decimal places). 2. The Sample Standard Deviation (to 4 decimal places). 3. The Test Statistic \(t\) (to 3 decimal places). Additionally, user responses are guided by dropdown selectors for: 1. The null and alternative hypotheses selection. 2. The conclusion based on the p-value comparison with the significance level. This step-by-step structure aids students in understanding hypothesis testing and the process involved in determining whether to
Transcribed Image Text:# Educational Exercise on Hypothesis Testing for Mean Tree Planting Times Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours): 2.2 | 2.7 | 1.4 | 2.4 | 1.8 | 3.2 | 1.6 | 2.9 | 1.7 | 2.3 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. ## a. State the null and alternative hypotheses. Null Hypothesis (\(H_0\)): \( \mu = 2 \) Alternative Hypothesis (\(H_a\)): \( \mu \neq 2 \) (Note: \(\mu\) represents the population mean.) ## b. Compute the sample mean. User input is required (to 2 decimals). ## c. Compute the sample standard deviation. User input is required (to 4 decimals). ## d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) User input is required for test statistic \(t\) (to 3 decimals). The p-value is given to be between 0.10 and 0.20. ## e. What is your conclusion? We do not reject the null hypothesis. There is not enough evidence to prove that the mean tree-planting time differs from 2 hours. ### Detailed Explanation for Graphs or Diagrams In this exercise, there are placeholders marked with red crosses indicating the areas where the user needs to input calculated values. Specifically, these inputs are for: 1. The Sample Mean (to 2 decimal places). 2. The Sample Standard Deviation (to 4 decimal places). 3. The Test Statistic \(t\) (to 3 decimal places). Additionally, user responses are guided by dropdown selectors for: 1. The null and alternative hypotheses selection. 2. The conclusion based on the p-value comparison with the significance level. This step-by-step structure aids students in understanding hypothesis testing and the process involved in determining whether to
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